Question

For what $n$ does $\left\lvert\frac{p^nx-1}{p+1}\right\rvert_p=1$, given $\lvert x\rvert_p=1$?

score 50 · Answer 1 · 2026-03-25 19:06:48

50

Views

For what $n$ does $\left\lvert\frac{p^nx-1}{p+1}\right\rvert_p=1$, given $\lvert x\rvert_p=1$?

Published on 25 Mar 2026 - 19:06

score 355 · Answer 2 · 2018-06-12 20:25:34

355

Views

Congruence system with same modulus and same variable?

Published on 12 Jun 2018 - 20:25

score 95 · Answer 3 · 2018-06-12 23:10:33

Find $1<a<9991$ such that $ a^{4995}\not \equiv 1 \mod 9991 , a^{4995}\not \equiv -1 \mod 9991 , a^{2\cdot4995}\not \equiv -1 \mod 9991 $

score 50 · Answer 4 · 2026-03-25 14:25:57

50

Views

For what $n$ is $\frac{p^n\cdot x-1}{p+1}$ integer, given $\lvert x\rvert_p=1$?

Published on 25 Mar 2026 - 14:25

score 284 · Answer 5 · 2018-06-13 14:33:48

284

Views

Calculating $-6^{20} \cdot 5^{70} \pmod {131}$

Published on 13 Jun 2018 - 14:33

score 259 · Answer 6 · 2018-06-14 02:24:06

259

Views

Proving a congruence using Wilson Theorem

Published on 14 Jun 2018 - 2:24

score 51 · Answer 7 · 2018-06-14 05:14:01

51

Views

Mod arithmetic: What day will it be in x hours?

Published on 14 Jun 2018 - 5:14

score 166 · Answer 8 · 2018-06-14 11:13:45

166

Views

How to calculate $5^{5^{33}}\bmod{100}$

Published on 14 Jun 2018 - 11:13

score 35 · Answer 9 · 2026-03-26 13:01:15

35

Views

Preserve number of solutions when transforming equation over GF(n)

Published on 26 Mar 2026 - 13:01

score 69 · Answer 10 · 2018-06-14 21:59:45

69

Views

A question about properties in modular arithmetic

Published on 14 Jun 2018 - 21:59

score 192 · Answer 11 · 2018-06-15 05:14:52

192

Views

Proof for a modular arithmetic identity.

Published on 15 Jun 2018 - 5:14

score 1.2k · Answer 12 · 2026-03-25 06:21:17

1.2k

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Calculation of modular multiplicative inverse of A mod B when A > B

Published on 25 Mar 2026 - 6:21

score 438 · Answer 13 · 2026-03-26 16:56:41

438

Views

How to prove $T_{m}T_{n}=\sum_{d|\gcd(m,n)}d^{k-1}T_{mn/d^2}?$ $T_{n}$ is Hecke operator.

Published on 26 Mar 2026 - 16:56

score 95 · Answer 14 · 2026-03-25 22:23:32

95

Views

$3^n-1$ is divisible by $4 \implies n $ is even

Published on 25 Mar 2026 - 22:23

score 134 · Answer 15 · 2026-03-25 11:04:39

134

Views

Using the Properties of Similar triangles and angle properties to find the length AC

Published on 25 Mar 2026 - 11:04

List Question

For what $n$ does $\left\lvert\frac{p^nx-1}{p+1}\right\rvert_p=1$, given $\lvert x\rvert_p=1$?

Congruence system with same modulus and same variable?

Find $1<a<9991$ such that $ a^{4995}\not \equiv 1 \mod 9991 , a^{4995}\not \equiv -1 \mod 9991 , a^{2\cdot4995}\not \equiv -1 \mod 9991 $

For what $n$ is $\frac{p^n\cdot x-1}{p+1}$ integer, given $\lvert x\rvert_p=1$?

Calculating $-6^{20} \cdot 5^{70} \pmod {131}$

Proving a congruence using Wilson Theorem

Mod arithmetic: What day will it be in x hours?

How to calculate $5^{5^{33}}\bmod{100}$

Preserve number of solutions when transforming equation over GF(n)

A question about properties in modular arithmetic

Proof for a modular arithmetic identity.

Calculation of modular multiplicative inverse of A mod B when A > B

How to prove $T_{m}T_{n}=\sum_{d|\gcd(m,n)}d^{k-1}T_{mn/d^2}?$ $T_{n}$ is Hecke operator.

$3^n-1$ is divisible by $4 \implies n $ is even

Using the Properties of Similar triangles and angle properties to find the length AC

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